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<a href="Fp32f_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">/* Original copyright notice</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">Copyright (c) 2007, Markus Trenkwalder</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">All rights reserved.</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">Redistribution and use in source and binary forms, with or without </span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">modification, are permitted provided that the following conditions are met:</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* Redistributions of source code must retain the above copyright notice, </span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">  this list of conditions and the following disclaimer.</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">* Redistributions in binary form must reproduce the above copyright notice,</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">  this list of conditions and the following disclaimer in the documentation </span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">  and/or other materials provided with the distribution.</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">* Neither the name of the library&#39;s copyright owner nor the names of its </span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">  contributors may be used to endorse or promote products derived from this </span></div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">  software without specific prior written permission.</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">&quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment">PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">//===============================================================================================//</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">//====================================== HEADER GUARD ===========================================//</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">//===============================================================================================//</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#ifndef __cplusplus</span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">    #error Please build with C++ compiler</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#ifndef MN_MFIXEDPOINT_FP32F_H</span></div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="Fp32f_8hpp.html#aa30aa0462a81fd316d2f92ac81c885b5">   53</a></span>&#160;<span class="preprocessor">#define MN_FP_FP32F_H</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#include &lt;stdint.h&gt;</span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="comment">// Fixed-point configuration file</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="Config_8hpp.html">Config.hpp</a>&quot;</span></div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">// Port-specific code</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="Port_8hpp.html">Port.hpp</a>&quot;</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacemn.html">mn</a> {</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="keyword">namespace </span>MFixedPoint {</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">// The template argument q in all of the following functions refers to the </span></div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment">// fixed point precision (e.g. q = 8 gives 24.8 fixed point functions).</span></div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt; </div><div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a9b75474a75a4a836d66f94cfc06c78e4">   72</a></span>&#160;<span class="keyword">inline</span> int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a9b75474a75a4a836d66f94cfc06c78e4">FixMulF</a>(int32_t a, int32_t b)</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;{</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keywordflow">return</span> (a * b) &gt;&gt; q;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;}</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a49674142efd47e1cea03efeea69e8a61">   81</a></span>&#160;<span class="keyword">inline</span> int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a49674142efd47e1cea03efeea69e8a61">FixMul</a>(int32_t a, int32_t b)</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;{</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keywordflow">return</span> (int32_t)(((int64_t)a * b) &gt;&gt; q);</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="comment">// Fixed point division</span></div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a3cf08fe133a71c8b95ab83e2268a3fec">   88</a></span>&#160;<span class="keyword">inline</span> int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a3cf08fe133a71c8b95ab83e2268a3fec">fixdiv</a>(int32_t a, int32_t b)</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;{</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="preprocessor">    #if 0</span></div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">return</span> (int32_t)((((int64_t)a) &lt;&lt; q) / b);</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">    #else   </span></div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="comment">// The following produces the same results as the above but gcc 4.0.3 </span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// generates fewer instructions (at least on the ARM processor).</span></div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">union </span>{</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            int64_t a;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            <span class="keyword">struct </span>{</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                int32_t l;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                int32_t h;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            };</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        } x;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        x.l = a &lt;&lt; q;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        x.h = a &gt;&gt; (<span class="keyword">sizeof</span>(int32_t) * 8 - q);</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">return</span> (int32_t)(x.a / b);</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">    #endif</span></div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;}</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint_1_1detail.html">  109</a></span>&#160;<span class="keyword">namespace </span>detail {</div><div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint_1_1detail.html#a23c916cea5a4b151e69bff7e828610f2">  110</a></span>&#160;    <span class="keyword">inline</span> uint32_t <a class="code" href="namespacemn_1_1MFixedPoint_1_1detail.html#a23c916cea5a4b151e69bff7e828610f2">CountLeadingZeros</a>(uint32_t x)</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    {</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        uint32_t exp = 31;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    </div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (x &amp; 0xffff0000) { </div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            exp -= 16; </div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            x &gt;&gt;= 16; </div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        }</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    </div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (x &amp; 0xff00) { </div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            exp -= 8; </div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            x &gt;&gt;= 8; </div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        }</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        </div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (x &amp; 0xf0) { </div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            exp -= 4; </div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            x &gt;&gt;= 4; </div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        }</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    </div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (x &amp; 0xc) { </div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            exp -= 2; </div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            x &gt;&gt;= 2; </div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        }</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        </div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">if</span> (x &amp; 0x2) { </div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            exp -= 1; </div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        }</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    </div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">return</span> exp;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    }</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;}</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="comment">// q is the precision of the input</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="comment">// output has 32-q bits of fraction</span></div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ace853bfeeb42f244da813d2f43746db7">  145</a></span>&#160;<span class="keyword">inline</span> int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#ace853bfeeb42f244da813d2f43746db7">fixinv</a>(int32_t a)</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;{</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    int32_t x;</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="keywordtype">bool</span> sign = <span class="keyword">false</span>;</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="keywordflow">if</span> (a &lt; 0) {</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        sign = <span class="keyword">true</span>;</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        a = -a;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    }</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> uint16_t rcp_tab[] = { </div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        0x8000, 0x71c7, 0x6666, 0x5d17, 0x5555, 0x4ec4, 0x4924, 0x4444</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    };</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        </div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    int32_t exp = <a class="code" href="namespacemn_1_1MFixedPoint_1_1detail.html#a23c916cea5a4b151e69bff7e828610f2">detail::CountLeadingZeros</a>(a);</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    x = ((int32_t)rcp_tab[(a&gt;&gt;(28-exp))&amp;0x7]) &lt;&lt; 2;</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    exp -= 16;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    <span class="keywordflow">if</span> (exp &lt;= 0)</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        x &gt;&gt;= -exp;</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keywordflow">else</span></div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        x &lt;&lt;= exp;</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    <span class="comment">// Two iterations of newton-raphson  x = x(2-ax)</span></div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    x = <a class="code" href="namespacemn_1_1MFixedPoint.html#a49674142efd47e1cea03efeea69e8a61">FixMul</a>&lt;(32-q)&gt;(x,((2&lt;&lt;(32-q)) - FixMul&lt;q&gt;(a,x)));</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    x = <a class="code" href="namespacemn_1_1MFixedPoint.html#a49674142efd47e1cea03efeea69e8a61">FixMul</a>&lt;(32-q)&gt;(x,((2&lt;&lt;(32-q)) - FixMul&lt;q&gt;(a,x)));</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    <span class="keywordflow">if</span> (sign)</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="keywordflow">return</span> -x;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    <span class="keywordflow">else</span></div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;}</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#afc387041f75e32ff11275ec42e7fe3dc">  184</a></span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#afc387041f75e32ff11275ec42e7fe3dc">FloatToRawFix32</a>(<span class="keywordtype">float</span> f)</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;{</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    <span class="keywordflow">return</span> (int32_t)(f * (1 &lt;&lt; q));</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;}</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ab9447d89d1eaa05037d45ea17e228aae">  194</a></span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#ab9447d89d1eaa05037d45ea17e228aae">DoubleToRawFix32</a>(<span class="keywordtype">double</span> f)</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;{</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    <span class="keywordflow">return</span> (int32_t)(f * (double)(1 &lt;&lt; q));</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;}</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#abe2435ffb4d1d6dac5744bb08d42df25">fixcos16</a>(int32_t a);</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a8e0a611dd25e1fd08fa518c32584832a">fixsin16</a>(int32_t a);</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a5f8f94c6e7eca6ba8233ac7f0da880eb">fixrsqrt16</a>(int32_t a);</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;int32_t <a class="code" href="namespacemn_1_1MFixedPoint.html#a67dbcc8f8829616f0928b35320c51d04">fixsqrt16</a>(int32_t a);</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html">  210</a></span>&#160;<span class="keyword">class </span><a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> {</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    </div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    </div><div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">  215</a></span>&#160;    int32_t <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;         </div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    </div><div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#addf44bd97ee0aacad14050fd1f766593">  217</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#addf44bd97ee0aacad14050fd1f766593">Fp32f</a>()</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    {</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="preprocessor">        #if(fpConfig_PRINT_DEBUG_GENERAL == 1)</span></div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            <span class="comment">//Port::DebugPrint(&quot;FP: New fixed-point object created.&quot;);</span></div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="preprocessor">        #endif</span></div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;    }</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    </div><div class="line"><a name="l00224"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a8f340298c15bcd1eaecef46b72454991">  224</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a8f340298c15bcd1eaecef46b72454991">Fp32f</a>(int8_t i) :</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        rawVal((int32_t)i &lt;&lt; q)</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;    {</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        </div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    </div><div class="line"><a name="l00230"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a99b2e292b0dd9f23eec45d06513a5612">  230</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a99b2e292b0dd9f23eec45d06513a5612">Fp32f</a>(int16_t i) :</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        rawVal((int32_t)i &lt;&lt; q)</div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    {</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;        </div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    }</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    </div><div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#afe0478a6d0454f7027aa79980c3b0f5a">  236</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#afe0478a6d0454f7027aa79980c3b0f5a">Fp32f</a>(int32_t i) :</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        rawVal(i &lt;&lt; q)</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    {</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    </div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    }</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;    </div><div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ad7000a7b982a447115b07392cbd28f34">  242</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ad7000a7b982a447115b07392cbd28f34">Fp32f</a>(<span class="keywordtype">float</span> f) :</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;        rawVal(<a class="code" href="namespacemn_1_1MFixedPoint.html#afc387041f75e32ff11275ec42e7fe3dc">FloatToRawFix32</a>&lt;q&gt;(f))</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    {</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    </div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;    }</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;    </div><div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aeac24860b4e5e7f9a2959099606ce615">  248</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aeac24860b4e5e7f9a2959099606ce615">Fp32f</a>(<span class="keywordtype">double</span> f) :</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        rawVal(<a class="code" href="namespacemn_1_1MFixedPoint.html#afc387041f75e32ff11275ec42e7fe3dc">FloatToRawFix32</a>&lt;q&gt;((float)f))</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    {</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    </div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;    }</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;    </div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;    <span class="comment">// Compound Arithmetic Overloads</span></div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;    </div><div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ab9381fee1db1a265a40502f32b80eece">  256</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator += (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    {</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        rawVal += r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;    }</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;    </div><div class="line"><a name="l00262"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a502b0934585f8b2f80d4285c7eec67f1">  262</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator -= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;    {</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;        rawVal -= r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;    }</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    </div><div class="line"><a name="l00270"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#afb2e5cf619618aee586129a6d47a251c">  270</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator *= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;    {</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        rawVal = FixMul&lt;q&gt;(rawVal, r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;    }</div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;    </div><div class="line"><a name="l00278"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#afa6d5debf47147796e8f1575caa63da4">  278</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator /= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    {</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        rawVal = fixdiv&lt;q&gt;(rawVal, r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;    }</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    </div><div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a78a5d37eac48279fb1e301f1cfbfb5cc">  285</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator %= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    {</div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        rawVal %= r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;    }</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    </div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    </div><div class="line"><a name="l00292"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a838e4d77cf3bd706f987ccea85133c21">  292</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator *= (int32_t r)</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    {</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;        rawVal *= r;</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;    }</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;    </div><div class="line"><a name="l00298"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a9e4695168292ec319fe8a5297e6a2b24">  298</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a>&amp; operator /= (int32_t r)</div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    { </div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;        rawVal /= r;</div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;    }</div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;    </div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    <span class="comment">// Simple Arithmetic Overloads</span></div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    </div><div class="line"><a name="l00307"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ac3583b6544910e345dbcb04c4226e147">  307</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">operator - </a>()<span class="keyword"> const</span></div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x;</div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;        x.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = -rawVal;</div><div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    }</div><div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    </div><div class="line"><a name="l00316"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a35a93f5ae2e3d656ade7b421041fdc5e">  316</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a8188180be1c1527c3fc63a0b05e3dce0">operator + </a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;        x += r;</div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    }</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;    </div><div class="line"><a name="l00325"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ad304897fcb5eb46bb14dd7755917882a">  325</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">operator - </a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;        x -= r;</div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    }</div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;    </div><div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aaf0271fac94fa473af30b22293e67312">  334</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a727b9bab906298211c1279da02b6380b">operator * </a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        x *= r;</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    }</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    </div><div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#af9ea85690a0ce2b8ba53fe2754d82fad">  343</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a5c522098c1940793343893ebd3bcf586">operator / </a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;        x /= r;</div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    }</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;    </div><div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a47fd0f36076c73498718e71c6e9625cc">  352</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> operator % (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;        x %= r;</div><div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;    }</div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;    </div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;    <span class="comment">// Fp32f-Fp32f Binary Operator Overloads</span></div><div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;    </div><div class="line"><a name="l00361"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#abaf212bed7097fabedc87d568a77a242">  361</a></span>&#160;    <span class="keywordtype">bool</span> operator == (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        <span class="keywordflow">return</span> rawVal == r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;    }</div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    </div><div class="line"><a name="l00366"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a345e100e6709e33d38d7493ecf80daeb">  366</a></span>&#160;    <span class="keywordtype">bool</span> operator != (<span class="keyword">const</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> &amp;r)</div><div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;    {</div><div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;        <span class="keywordflow">return</span> !(*<span class="keyword">this</span> == r);</div><div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;    }</div><div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;    </div><div class="line"><a name="l00371"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aac6be6551bb0aef740bb3fd7be388708">  371</a></span>&#160;    <span class="keywordtype">bool</span> operator &lt;  (<span class="keyword">const</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> &amp;r)</div><div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    {</div><div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;        <span class="keywordflow">return</span> rawVal &lt; r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    }</div><div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    </div><div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a4cf241a461077d780a8f004ab58be4fa">  376</a></span>&#160;    <span class="keywordtype">bool</span> operator &gt;  (<span class="keyword">const</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> &amp;r)</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    {</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;        <span class="keywordflow">return</span> rawVal &gt; r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;    }</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;    </div><div class="line"><a name="l00381"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aafb73814c31febaf0c62dba973d63198">  381</a></span>&#160;    <span class="keywordtype">bool</span> operator &lt;= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        <span class="keywordflow">return</span> rawVal &lt;= r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    }</div><div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;    </div><div class="line"><a name="l00386"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a2dfd5bc88b95ab658a3e679f84b09a31">  386</a></span>&#160;    <span class="keywordtype">bool</span> operator &gt;= (<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> r)<span class="keyword"> const</span></div><div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;<span class="keyword">    </span>{</div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        <span class="keywordflow">return</span> rawVal &gt;= r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;    }</div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;    </div><div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;    </div><div class="line"><a name="l00397"></a><span class="lineno"><a class="line" href="group__From.html#gae3a319079464206539ec9566ce2bc926">  397</a></span>&#160;    <span class="keyword">operator</span> int16_t() {</div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;        <span class="comment">// Right-shift to get rid of all the decimal bits (truncate)</span></div><div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        <span class="keywordflow">return</span> (int16_t)(rawVal &gt;&gt; q);</div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;    }</div><div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;    </div><div class="line"><a name="l00403"></a><span class="lineno"><a class="line" href="group__From.html#gafc71f34807d7f69ed665ff8835562cbe">  403</a></span>&#160;    <span class="keyword">operator</span> int32_t() {</div><div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;        <span class="comment">// Right-shift to get rid of all the decimal bits (truncate)</span></div><div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;        <span class="keywordflow">return</span> (rawVal &gt;&gt; q);</div><div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;    }</div><div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;    </div><div class="line"><a name="l00409"></a><span class="lineno"><a class="line" href="group__From.html#ga8445c1f0605ff7f0f3416f4975151828">  409</a></span>&#160;    <span class="keyword">operator</span> int64_t() {</div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;        <span class="comment">// Right-shift to get rid of all the decimal bits (truncate)</span></div><div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;        <span class="keywordflow">return</span> (int64_t)(rawVal &gt;&gt; q);</div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    }</div><div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;    </div><div class="line"><a name="l00415"></a><span class="lineno"><a class="line" href="group__From.html#gae582222d9cea6342d0222d1c42158bc7">  415</a></span>&#160;    <span class="keyword">operator</span> float() { </div><div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;        <span class="keywordflow">return</span> (<span class="keywordtype">float</span>)rawVal / (float)(1 &lt;&lt; q);</div><div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;    }</div><div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;    </div><div class="line"><a name="l00421"></a><span class="lineno"><a class="line" href="group__From.html#ga025f5922496dff377ff642424dcd55a1">  421</a></span>&#160;    <span class="keyword">operator</span> double() { </div><div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;        <span class="keywordflow">return</span> (<span class="keywordtype">double</span>)rawVal / (double)(1 &lt;&lt; q);</div><div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;    }</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    </div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    </div><div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div><div class="line"><a name="l00431"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6416a46d8f664ae06e5af5a2e20f1b17">  431</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a8188180be1c1527c3fc63a0b05e3dce0">operator + </a>(int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;        x += r;</div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    }</div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    </div><div class="line"><a name="l00437"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#afa9142b6cbb5722dbe6c9ccf2b6d818c">  437</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">operator - </a>(int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;        x -= r;</div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    }</div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    </div><div class="line"><a name="l00443"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ed1e33f1f6c2d9cea555b1638d10e81">  443</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a727b9bab906298211c1279da02b6380b">operator * </a>(int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;        x *= r;</div><div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;    }</div><div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    </div><div class="line"><a name="l00449"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6e92179ce0bb21ac69276ac929175555">  449</a></span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a5c522098c1940793343893ebd3bcf586">operator / </a>(int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;        <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f</a> x = *<span class="keyword">this</span>;</div><div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;        x /= r;</div><div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;    }</div><div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    </div><div class="line"><a name="l00455"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a83145c13770bbe879d3191dbfd33af50">  455</a></span>&#160;    <span class="keywordtype">bool</span> operator &gt;  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        <span class="keywordflow">return</span> rawVal &gt; (r &lt;&lt; q);</div><div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    }</div><div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    </div><div class="line"><a name="l00459"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ab14e53268c2f2f81ac140503f73258d1">  459</a></span>&#160;    <span class="keywordtype">bool</span> operator &gt;=  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        <span class="keywordflow">return</span> rawVal &gt;= (r &lt;&lt; q);</div><div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;    }</div><div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    </div><div class="line"><a name="l00463"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a609ffb3affc9d70dedac24c6873ab497">  463</a></span>&#160;    <span class="keywordtype">bool</span> operator &lt;  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;        <span class="keywordflow">return</span> rawVal &lt; (r &lt;&lt; q);</div><div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;    }</div><div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;    </div><div class="line"><a name="l00467"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#aa745a21b24375a8459f3503b3028fe71">  467</a></span>&#160;    <span class="keywordtype">bool</span> operator &lt;=  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;        <span class="keywordflow">return</span> rawVal &lt; (r &lt;&lt; q);</div><div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;    }</div><div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    </div><div class="line"><a name="l00471"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#ab2d8a67712a5a25ca7412669bdaeb03e">  471</a></span>&#160;    <span class="keywordtype">bool</span> operator ==  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;        <span class="keywordflow">return</span> rawVal == (r &lt;&lt; q);</div><div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;    }</div><div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;    </div><div class="line"><a name="l00475"></a><span class="lineno"><a class="line" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a7675fe8fc6d9198e198a4eddf29426ed">  475</a></span>&#160;    <span class="keywordtype">bool</span> operator !=  (int32_t r)<span class="keyword"> const </span>{</div><div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;        <span class="keywordflow">return</span> rawVal != (r &lt;&lt; q);</div><div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;    }</div><div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;</div><div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;    </div><div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;};</div><div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;</div><div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;<span class="comment">// Specializations for use with plain integers</span></div><div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;</div><div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00487"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a8188180be1c1527c3fc63a0b05e3dce0">  487</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a8188180be1c1527c3fc63a0b05e3dce0">operator + </a>(int32_t a, <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> b)</div><div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;{ </div><div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;    <span class="keywordflow">return</span> b + a; </div><div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;}</div><div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;</div><div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00494"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">  494</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">operator - </a>(int32_t a, <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> b)</div><div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;{</div><div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;    <span class="keywordflow">return</span> -b + a;</div><div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;}</div><div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;</div><div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00501"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a727b9bab906298211c1279da02b6380b">  501</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a727b9bab906298211c1279da02b6380b">operator * </a>(int32_t a, <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> b)</div><div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;{ <span class="keywordflow">return</span> b * a; }</div><div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;</div><div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00505"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a5c522098c1940793343893ebd3bcf586">  505</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a5c522098c1940793343893ebd3bcf586">operator / </a>(int32_t a, <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> b)</div><div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;{ </div><div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> r(a); </div><div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;    r /= b; </div><div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;}</div><div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;</div><div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="comment">// math functions</span></div><div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;<span class="comment">// no default implementation</span></div><div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;</div><div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a3e7e5abbc1fb4d2aecdb5cd98b58b66f">sin</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a);</div><div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;</div><div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#add093362bc33ef75dc54a91a2170be5d">cos</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a);</div><div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;</div><div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a05d7ba6997d3295966a3f272a27e45ef">sqrt</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a);</div><div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;</div><div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a6177ed7234c6e6d213c9a92af254b483">rsqrt</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a);</div><div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;</div><div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad33466d848879bec156b9a50b1265d66">inv</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a);</div><div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;</div><div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00531"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a418a81c2aff49891f3c4629f39c93ca1">  531</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a418a81c2aff49891f3c4629f39c93ca1">abs</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> a)</div><div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;{ </div><div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> r; </div><div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> &gt; 0 ? a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> : -a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>; </div><div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;    <span class="keywordflow">return</span> r; </div><div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;}</div><div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;</div><div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;<span class="comment">// Specializations for 16.16 format</span></div><div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;</div><div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00541"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ad68285858b99c8018f83a0745ea65b0c">  541</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a3e7e5abbc1fb4d2aecdb5cd98b58b66f">sin</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> a)</div><div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;{</div><div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> r;</div><div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = <a class="code" href="namespacemn_1_1MFixedPoint.html#a8e0a611dd25e1fd08fa518c32584832a">fixsin16</a>(a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;}</div><div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;</div><div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00549"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ad63a51578943b11d73d329df904397d3">  549</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#add093362bc33ef75dc54a91a2170be5d">cos</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> a)</div><div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;{</div><div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> r;</div><div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = <a class="code" href="namespacemn_1_1MFixedPoint.html#abe2435ffb4d1d6dac5744bb08d42df25">fixcos16</a>(a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;}</div><div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;</div><div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;</div><div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00558"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a3acec45599038730e03e2b4167300dad">  558</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a05d7ba6997d3295966a3f272a27e45ef">sqrt</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> a)</div><div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;{</div><div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> r;</div><div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = <a class="code" href="namespacemn_1_1MFixedPoint.html#a67dbcc8f8829616f0928b35320c51d04">fixsqrt16</a>(a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;}</div><div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;</div><div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00566"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a0af48d61efa0fa7b024d71b2d11a487f">  566</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#a6177ed7234c6e6d213c9a92af254b483">rsqrt</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> a)</div><div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;{</div><div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> r;</div><div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = <a class="code" href="namespacemn_1_1MFixedPoint.html#a5f8f94c6e7eca6ba8233ac7f0da880eb">fixrsqrt16</a>(a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;}</div><div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;</div><div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00574"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#a559bfd7ffc3764ef6698ef2acf54c68f">  574</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad33466d848879bec156b9a50b1265d66">inv</a>(<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> a)</div><div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;{</div><div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;16&gt;</a> r;</div><div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = fixinv&lt;16&gt;(a.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>);</div><div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;}</div><div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;</div><div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;<span class="comment">// The multiply accumulate case can be optimized.</span></div><div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;<span class="keyword">template</span> &lt;u<span class="keywordtype">int</span>8_t q&gt;</div><div class="line"><a name="l00583"></a><span class="lineno"><a class="line" href="namespacemn_1_1MFixedPoint.html#ad80e535e250e60ef55c60be2a6f93c49">  583</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> <a class="code" href="namespacemn_1_1MFixedPoint.html#ad80e535e250e60ef55c60be2a6f93c49">multiply_accumulate</a>(</div><div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;    int32_t count, </div><div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;    <span class="keyword">const</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> *a,</div><div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;    <span class="keyword">const</span> <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> *b)</div><div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;{</div><div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;    <span class="keywordtype">long</span> <span class="keywordtype">long</span> result = 0;</div><div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;    <span class="keywordflow">for</span> (int32_t i = 0; i &lt; count; ++i)</div><div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;        result += static_cast&lt;long long&gt;(a[i].rawVal) * b[i].<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a>;</div><div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;    <a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html">Fp32f&lt;q&gt;</a> r;</div><div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;    r.<a class="code" href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">rawVal</a> = <span class="keyword">static_cast&lt;</span>int32_t<span class="keyword">&gt;</span>(result &gt;&gt; q);</div><div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;    <span class="keywordflow">return</span> r;</div><div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;}</div><div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;</div><div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="comment">//===============================================================================================//</span></div><div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;<span class="comment">//======================================== GRAVEYARD ============================================//</span></div><div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;<span class="comment">//===============================================================================================//</span></div><div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;</div><div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;<span class="comment">template &lt;uint8_t q&gt;</span></div><div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;<span class="comment">float Fix32ToFloat(int32_t f)</span></div><div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;<span class="comment">{</span></div><div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;<span class="comment">    return (float)f / (1 &lt;&lt; q);</span></div><div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;<span class="comment">}</span></div><div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="comment">template &lt;uint8_t q&gt;</span></div><div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;<span class="comment">double Fix32ToDouble(int32_t f)</span></div><div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;<span class="comment">{</span></div><div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;<span class="comment">    return (double)f / (double)(1 &lt;&lt; q);</span></div><div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;<span class="comment">}</span></div><div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;</div><div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;} <span class="comment">// namespace MFixedPoint</span></div><div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;} <span class="comment">//namespace mn</span></div><div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;</div><div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;<span class="preprocessor">#endif // #ifndef MN_FP_FP32F_H</span></div><div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;</div><div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;<span class="comment">// EOF</span></div><div class="ttc" id="namespacemn_1_1MFixedPoint_html_add093362bc33ef75dc54a91a2170be5d"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#add093362bc33ef75dc54a91a2170be5d">mn::MFixedPoint::cos</a></div><div class="ttdeci">Fp32f&lt; q &gt; cos(Fp32f&lt; q &gt; a)</div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_1_1detail_html_a23c916cea5a4b151e69bff7e828610f2"><div class="ttname"><a href="namespacemn_1_1MFixedPoint_1_1detail.html#a23c916cea5a4b151e69bff7e828610f2">mn::MFixedPoint::detail::CountLeadingZeros</a></div><div class="ttdeci">uint32_t CountLeadingZeros(uint32_t x)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00110">Fp32f.hpp:110</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_ad7000a7b982a447115b07392cbd28f34"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#ad7000a7b982a447115b07392cbd28f34">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f(float f)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00242">Fp32f.hpp:242</a></div></div>
<div class="ttc" id="Config_8hpp_html"><div class="ttname"><a href="Config_8hpp.html">Config.hpp</a></div><div class="ttdoc">Port specific functions. </div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_ad80e535e250e60ef55c60be2a6f93c49"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#ad80e535e250e60ef55c60be2a6f93c49">mn::MFixedPoint::multiply_accumulate</a></div><div class="ttdeci">Fp32f&lt; q &gt; multiply_accumulate(int32_t count, const Fp32f&lt; q &gt; *a, const Fp32f&lt; q &gt; *b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00583">Fp32f.hpp:583</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a8e0a611dd25e1fd08fa518c32584832a"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a8e0a611dd25e1fd08fa518c32584832a">mn::MFixedPoint::fixsin16</a></div><div class="ttdeci">int32_t fixsin16(int32_t a)</div></div>
<div class="ttc" id="namespacemn_html"><div class="ttname"><a href="namespacemn.html">mn</a></div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8cpp_source.html#l00025">Fp32f.cpp:25</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a05d7ba6997d3295966a3f272a27e45ef"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a05d7ba6997d3295966a3f272a27e45ef">mn::MFixedPoint::sqrt</a></div><div class="ttdeci">Fp32f&lt; q &gt; sqrt(Fp32f&lt; q &gt; a)</div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_a6ca9d9930dfcb06d530259b1da668359"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#a6ca9d9930dfcb06d530259b1da668359">mn::MFixedPoint::Fp32f::rawVal</a></div><div class="ttdeci">int32_t rawVal</div><div class="ttdoc">The fixed-point number is stored in this basic data type. </div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00215">Fp32f.hpp:215</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_ad33466d848879bec156b9a50b1265d66"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#ad33466d848879bec156b9a50b1265d66">mn::MFixedPoint::inv</a></div><div class="ttdeci">Fp32f&lt; q &gt; inv(Fp32f&lt; q &gt; a)</div></div>
<div class="ttc" id="Port_8hpp_html"><div class="ttname"><a href="Port_8hpp.html">Port.hpp</a></div><div class="ttdoc">Port specific functions. </div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_ace853bfeeb42f244da813d2f43746db7"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#ace853bfeeb42f244da813d2f43746db7">mn::MFixedPoint::fixinv</a></div><div class="ttdeci">int32_t fixinv(int32_t a)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00145">Fp32f.hpp:145</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html">mn::MFixedPoint::Fp32f</a></div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00210">Fp32f.hpp:210</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a418a81c2aff49891f3c4629f39c93ca1"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a418a81c2aff49891f3c4629f39c93ca1">mn::MFixedPoint::abs</a></div><div class="ttdeci">Fp32f&lt; q &gt; abs(Fp32f&lt; q &gt; a)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00531">Fp32f.hpp:531</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_afe0478a6d0454f7027aa79980c3b0f5a"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#afe0478a6d0454f7027aa79980c3b0f5a">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f(int32_t i)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00236">Fp32f.hpp:236</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a67dbcc8f8829616f0928b35320c51d04"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a67dbcc8f8829616f0928b35320c51d04">mn::MFixedPoint::fixsqrt16</a></div><div class="ttdeci">int32_t fixsqrt16(int32_t a)</div><div class="ttdoc">Calculates squareroot. </div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8cpp_source.html#l00117">Fp32f.cpp:117</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_a99b2e292b0dd9f23eec45d06513a5612"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#a99b2e292b0dd9f23eec45d06513a5612">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f(int16_t i)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00230">Fp32f.hpp:230</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a5f8f94c6e7eca6ba8233ac7f0da880eb"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a5f8f94c6e7eca6ba8233ac7f0da880eb">mn::MFixedPoint::fixrsqrt16</a></div><div class="ttdeci">int32_t fixrsqrt16(int32_t a)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8cpp_source.html#l00073">Fp32f.cpp:73</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a3e7e5abbc1fb4d2aecdb5cd98b58b66f"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a3e7e5abbc1fb4d2aecdb5cd98b58b66f">mn::MFixedPoint::sin</a></div><div class="ttdeci">Fp32f&lt; q &gt; sin(Fp32f&lt; q &gt; a)</div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a6177ed7234c6e6d213c9a92af254b483"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a6177ed7234c6e6d213c9a92af254b483">mn::MFixedPoint::rsqrt</a></div><div class="ttdeci">Fp32f&lt; q &gt; rsqrt(Fp32f&lt; q &gt; a)</div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_ab9447d89d1eaa05037d45ea17e228aae"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#ab9447d89d1eaa05037d45ea17e228aae">mn::MFixedPoint::DoubleToRawFix32</a></div><div class="ttdeci">int32_t DoubleToRawFix32(double f)</div><div class="ttdoc">Converts from double to a raw fixed-point number. </div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00194">Fp32f.hpp:194</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a727b9bab906298211c1279da02b6380b"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a727b9bab906298211c1279da02b6380b">mn::MFixedPoint::operator*</a></div><div class="ttdeci">Fp32f&lt; q &gt; operator*(int32_t a, Fp32f&lt; q &gt; b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00501">Fp32f.hpp:501</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a9b75474a75a4a836d66f94cfc06c78e4"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a9b75474a75a4a836d66f94cfc06c78e4">mn::MFixedPoint::FixMulF</a></div><div class="ttdeci">int32_t FixMulF(int32_t a, int32_t b)</div><div class="ttdoc">Perform a fixed point multiplication without a 64-bit intermediate result. </div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00072">Fp32f.hpp:72</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a8188180be1c1527c3fc63a0b05e3dce0"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a8188180be1c1527c3fc63a0b05e3dce0">mn::MFixedPoint::operator+</a></div><div class="ttdeci">Fp32f&lt; q &gt; operator+(int32_t a, Fp32f&lt; q &gt; b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00487">Fp32f.hpp:487</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_addf44bd97ee0aacad14050fd1f766593"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#addf44bd97ee0aacad14050fd1f766593">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f()</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00217">Fp32f.hpp:217</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_abe2435ffb4d1d6dac5744bb08d42df25"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#abe2435ffb4d1d6dac5744bb08d42df25">mn::MFixedPoint::fixcos16</a></div><div class="ttdeci">int32_t fixcos16(int32_t a)</div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a3cf08fe133a71c8b95ab83e2268a3fec"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a3cf08fe133a71c8b95ab83e2268a3fec">mn::MFixedPoint::fixdiv</a></div><div class="ttdeci">int32_t fixdiv(int32_t a, int32_t b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00088">Fp32f.hpp:88</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a5c522098c1940793343893ebd3bcf586"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a5c522098c1940793343893ebd3bcf586">mn::MFixedPoint::operator/</a></div><div class="ttdeci">Fp32f&lt; q &gt; operator/(int32_t a, Fp32f&lt; q &gt; b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00505">Fp32f.hpp:505</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_ad6ad2a1e25452e5bb6d7e293e8f6d2b4"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#ad6ad2a1e25452e5bb6d7e293e8f6d2b4">mn::MFixedPoint::operator-</a></div><div class="ttdeci">Fp32f&lt; q &gt; operator-(int32_t a, Fp32f&lt; q &gt; b)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00494">Fp32f.hpp:494</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_aeac24860b4e5e7f9a2959099606ce615"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#aeac24860b4e5e7f9a2959099606ce615">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f(double f)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00248">Fp32f.hpp:248</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_a49674142efd47e1cea03efeea69e8a61"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#a49674142efd47e1cea03efeea69e8a61">mn::MFixedPoint::FixMul</a></div><div class="ttdeci">int32_t FixMul(int32_t a, int32_t b)</div><div class="ttdoc">Perform a fixed point multiplication using a 64-bit intermediate result to prevent intermediary overf...</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00081">Fp32f.hpp:81</a></div></div>
<div class="ttc" id="classmn_1_1MFixedPoint_1_1Fp32f_html_a8f340298c15bcd1eaecef46b72454991"><div class="ttname"><a href="classmn_1_1MFixedPoint_1_1Fp32f.html#a8f340298c15bcd1eaecef46b72454991">mn::MFixedPoint::Fp32f::Fp32f</a></div><div class="ttdeci">Fp32f(int8_t i)</div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00224">Fp32f.hpp:224</a></div></div>
<div class="ttc" id="namespacemn_1_1MFixedPoint_html_afc387041f75e32ff11275ec42e7fe3dc"><div class="ttname"><a href="namespacemn_1_1MFixedPoint.html#afc387041f75e32ff11275ec42e7fe3dc">mn::MFixedPoint::FloatToRawFix32</a></div><div class="ttdeci">int32_t FloatToRawFix32(float f)</div><div class="ttdoc">Converts from float to a raw fixed-point number. </div><div class="ttdef"><b>Definition:</b> <a href="Fp32f_8hpp_source.html#l00184">Fp32f.hpp:184</a></div></div>
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